A Note on the [0]-Lower Continuous Functions

Kowalczyk, S.; Nowakowska, K.

doi:10.2478/tmmp-2014-0010

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A Note on the [0]-Lower Continuous Functions

Tatra Mountains Mathematical Publications

Volume 58 (2014): Issue 1 (March 2014)

By: S. Kowalczyk and K. Nowakowska

Open Access

|Aug 2014

Abstract

We present some properties of [0]-lower continuous functions. We give an equivalent condition of [0]-lower continuity and find maximal additive family and maximal multiplicative family for the class of [0]-lower continuous functions.

References

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DOI: https://doi.org/10.2478/tmmp-2014-0010 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 111 - 128

Submitted on: Dec 2, 2013

Published on: Aug 15, 2014

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

density of a set at a point,

continuous functions,

path continuity,

[λ,

ᵨ]-continuity,

[0]-lower continuity,

Related subjects:

© 2014 S. Kowalczyk, K. Nowakowska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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